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83988420420 = 223519283725969
BaseRepresentation
bin100111000111000011…
…0011001011101000100
322000210022000211020210
41032032012121131010
52334002013423140
6102330031155420
76032211536322
oct1161606313504
9260708024223
1083988420420
113268a301403
121433b675b70
137bc65309b8
1440ca756d12
1522b8707d80
hex138e199744

83988420420 has 96 divisors (see below), whose sum is σ = 247641609600. Its totient is φ = 21209831424.

The previous prime is 83988420367. The next prime is 83988420421. The reversal of 83988420420 is 2402488938.

It is a self number, because there is not a number n which added to its sum of digits gives 83988420420.

It is not an unprimeable number, because it can be changed into a prime (83988420421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221196 + ... + 3247164.

It is an arithmetic number, because the mean of its divisors is an integer number (2579600100).

Almost surely, 283988420420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83988420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123820804800).

83988420420 is an abundant number, since it is smaller than the sum of its proper divisors (163653189180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83988420420 is a wasteful number, since it uses less digits than its factorization.

83988420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28837 (or 28835 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 83988420420 in words is "eighty-three billion, nine hundred eighty-eight million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2837 5674 8511 11348 14185 17022 25969 28370 34044 42555 51938 53903 56740 77907 85110 103876 107806 129845 155814 161709 170220 215612 259690 269515 311628 323418 389535 493411 519380 539030 646836 779070 808545 986822 1078060 1480233 1558140 1617090 1973644 2467055 2960466 3234180 4934110 5920932 7401165 9868220 14802330 29604660 73674053 147348106 221022159 294696212 368370265 442044318 736740530 884088636 1105110795 1399807007 1473481060 2210221590 2799614014 4199421021 4420443180 5599228028 6999035035 8398842042 13998070070 16797684084 20997105105 27996140140 41994210210 83988420420